A square has an unknown side length of x feet. It is transformed into a rectangle by increasing its length by 12 feet and decreasing its width by 4 feet. (a) Determine a trinomial expression for the area of the new rectangle in terms of x. Create an area model to illustrate how you found your answer.

(b) If the area of the new rectangle is equal to the area of the original square, then find the numerical side length of the original square, x. Show how you found your answer.

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?